Final answer:
To solve the equation -12/x = -22/(x-5), we cross-multiply, rearrange terms to isolate x, and solve for x which results in x = -6.
Step-by-step explanation:
To solve the equation -12/x = -22/(x-5), we can approach it by first setting up the equation as a proportion and then cross-multiplying. After cross-multiplying, we will aim to get all the terms involving x on one side of the equation to isolate x and find its value.
Step 1: Cross multiply to get -12(x - 5) = -22x.
Step 2: Distribute the -12 to get -12x + 60 = -22x.
Step 3: Add 22x to both sides to get 10x + 60 = 0.
Step 4: Subtract 60 from both sides to get 10x = -60.
Step 5: Divide both sides by 10 to find x = -6.
Therefore, the solution to the equation is x = -6.